scholarly journals The $$M^{X}/M/c$$ Bernoulli feedback queue with variant multiple working vacations and impatient customers: performance and economic analysis

2019 ◽  
Vol 9 (2) ◽  
pp. 309-327
Author(s):  
Amina Angelika Bouchentouf ◽  
Abdelhak Guendouzi
Keyword(s):  
Economic Analysis ◽  
Impatient Customers ◽  
Bernoulli Feedback ◽  
Multiple Working Vacations ◽  
Working Vacations ◽  
Feedback Queue

scholarly journals Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

2019 ◽  
Vol 10 (2) ◽  
pp. 211-226
Author(s):  
Lahcene Yahiaoui ◽  
◽  
Amina Angelika Bouchentouf ◽  
Mokhtar Kadi ◽  
◽  
...  
Keyword(s):  
Cost Analysis ◽  
Impatient Customers ◽  
Working Vacations ◽  
Optimum Cost ◽  
Feedback Queue

scholarly journals Phase-Type Arrivals and Impatient Customers in Multiserver Queue with Multiple Working Vacations

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Cosmika Goswami ◽  
N. Selvaraju
Keyword(s):  
Blocking Probability ◽  
Death Process ◽  
Impatient Customers ◽  
Working Vacation ◽  
Multiple Working Vacations ◽  
Phase Type ◽  
Working Vacations ◽  
The One ◽  
Vacation Period ◽  
Stationary Probability Vector

We consider a PH/M/c queue with multiple working vacations where the customers waiting in queue for service are impatient. The working vacation policy is the one in which the servers serve at a lower rate during the vacation period rather than completely ceasing the service. Customer’s impatience is due to its arrival during the period where all the servers are in working vacations and the arriving customer has to join the queue. We formulate the system as a nonhomogeneous quasi-birth-death process and use finite truncation method to find the stationary probability vector. Various performance measures like the average number of busy servers in the system during a vacation as well as during a nonvacation period, server availability, blocking probability, and average number of lost customers are given. Numerical examples are provided to illustrate the effects of various parameters and interarrival distributions on system performance.

scholarly journals GEOM/GEOM[a]/1/ queue with late arrival system with delayed access and delayed multiple working vacations

2014 ◽  
Vol 24 (1) ◽  
pp. 127-143 ◽  
Author(s):  
Jiang Cheng ◽  
Yinghui Tang ◽  
Miaomiao Yu
Keyword(s):  
Queue Length ◽  
Probability Generating Function ◽  
Operator Method ◽  
Analysis Method ◽  
Idle Period ◽  
Arrival Times ◽  
Late Arrival ◽  
Multiple Working Vacations ◽  
Bulk Service ◽  
Working Vacations

This paper considers a discrete-time bulk-service queue with infinite buffer space and delay multiple working vacations. Considering a late arrival system with delayed access (LAS-AD), it is assumed that the inter-arrival times, service times, vacation times are all geometrically distributed. The server does not take a vacation immediately at service complete epoch but keeps idle period. According to a bulk-service rule, at least one customer is needed to start a service with a maximum serving capacity 'a'. Using probability analysis method and displacement operator method, the queue length and the probability generating function of waiting time at pre-arrival epochs are obtained. Furthermore, the outside observer?s observation epoch queue length distributions are given. Finally, computational examples with numerical results in the form of graphs and tables are discussed.

scholarly journals An M/G/1 Retrial Queueing System with Phase Type Services and Working Vacations

2018 ◽  
Vol 7 (4.10) ◽  
pp. 758
Author(s):  
P. Rajadurai ◽  
R. Santhoshi ◽  
G. Pavithra ◽  
S. Usharani ◽  
S. B. Shylaja
Keyword(s):  
Queueing System ◽  
Retrial Queue ◽  
Probability Generating Function ◽  
Retrial Queueing System ◽  
Retrial Queueing ◽  
Multiple Working Vacations ◽  
Phase Type ◽  
Working Vacations ◽  
Multi Phase ◽  
Number Of Customers

A multi phase retrial queue with optional re-service and multiple working vacations is considered. The Probability Generating Function (PGF) of number of customers in the system is obtained by supplementary variable technique. Various system performance measures are discussed. 

Sign in / Sign up

Export Citation Format

Share Document